Question: 1. FIR Response: This problem is concerned with finding the output of an FIR filter for a given input signal. A linear time invariant system

1. FIR Response: This problem is concerned with finding the output

1. FIR Response: This problem is concerned with finding the output of an FIR filter for a given input signal. A linear time invariant system is described by the difference equation k=0 The input to this system is unit step signal, denoted by u[n], i.e., x[n] = uln_ (a) Determine the filter coefficients {bk) of this FIR filter. (b) Find the impulse response, h[n], for this FIR filter. The impulse response is a discrete-time signal, In 0 so make a (stem) plot of h[n] versus n. (c) Find the output y[n] when the input is u[n], and make a plot of y[n] vs. n. (Hint: you might find it useful to check your results with MATLAB's convO function.)

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